TSTP Solution File: GRP380-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP380-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:47:37 EDT 2024

% Result   : Unsatisfiable 1.06s 0.89s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :  106
% Syntax   : Number of formulae    :  618 (  38 unt;   0 def)
%            Number of atoms       : 2612 ( 569 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives : 3780 (1786   ~;1961   |;   0   &)
%                                         (  33 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   45 (  43 usr;  34 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  27 con; 0-2 aty)
%            Number of variables   :  169 ( 169   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4917,plain,
    $false,
    inference(avatar_sat_refutation,[],[f144,f149,f159,f164,f169,f174,f179,f184,f189,f194,f195,f196,f197,f198,f200,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f236,f237,f239,f240,f241,f242,f243,f244,f245,f266,f445,f470,f473,f515,f681,f714,f1240,f1672,f1701,f1865,f1970,f2327,f2560,f2601,f2641,f2647,f2648,f2749,f2800,f3253,f3257,f3299,f4076,f4352,f4459,f4514,f4584,f4604,f4674,f4684,f4839,f4888,f4891,f4912,f4913]) ).

fof(f4913,plain,
    ( ~ spl25_37
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f4340,f233,f219,f205,f191,f137,f1116]) ).

fof(f1116,plain,
    ( spl25_37
  <=> sP4(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_37])]) ).

fof(f137,plain,
    ( spl25_1
  <=> sk_c10 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f191,plain,
    ( spl25_12
  <=> sk_c11 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).

fof(f205,plain,
    ( spl25_13
  <=> sk_c10 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).

fof(f219,plain,
    ( spl25_14
  <=> sk_c2 = sF23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).

fof(f233,plain,
    ( spl25_15
  <=> sk_c10 = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).

fof(f4340,plain,
    ( ~ sP4(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f59,f4335]) ).

fof(f4335,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f4263,f4330]) ).

fof(f4330,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f719,f4313]) ).

fof(f4313,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f4297,f4299]) ).

fof(f4299,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f717,f4272]) ).

fof(f4272,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1,f4271]) ).

fof(f4271,plain,
    ( identity = sk_c11
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f4270,f4260]) ).

fof(f4260,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f4254,f3380]) ).

fof(f3380,plain,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | ~ spl25_12 ),
    inference(forward_demodulation,[],[f90,f193]) ).

fof(f193,plain,
    ( sk_c11 = sF21
    | ~ spl25_12 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f90,plain,
    multiply(sk_c10,sk_c9) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f4254,plain,
    ( multiply(sk_c10,sk_c9) = multiply(sk_c1,sk_c10)
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(superposition,[],[f3342,f3350]) ).

fof(f3350,plain,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f123,f235]) ).

fof(f235,plain,
    ( sk_c10 = sF24
    | ~ spl25_15 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f123,plain,
    multiply(sk_c2,sk_c9) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f3342,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c2,X0))
    | ~ spl25_13 ),
    inference(forward_demodulation,[],[f294,f207]) ).

fof(f207,plain,
    ( sk_c10 = sF22
    | ~ spl25_13 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f294,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sF22,X0),
    inference(superposition,[],[f3,f101]) ).

fof(f101,plain,
    multiply(sk_c1,sk_c2) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',associativity) ).

fof(f4270,plain,
    ( identity = multiply(sk_c1,sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f4268,f532]) ).

fof(f532,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl25_1 ),
    inference(forward_demodulation,[],[f277,f139]) ).

fof(f139,plain,
    ( sk_c10 = sF11
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f277,plain,
    identity = multiply(sF11,sk_c11),
    inference(superposition,[],[f2,f70]) ).

fof(f70,plain,
    inverse(sk_c11) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',left_inverse) ).

fof(f4268,plain,
    ( multiply(sk_c1,sk_c10) = multiply(sk_c10,sk_c11)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(superposition,[],[f3342,f4263]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',left_identity) ).

fof(f717,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
    | ~ spl25_1 ),
    inference(forward_demodulation,[],[f716,f1]) ).

fof(f716,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c11,X0))
    | ~ spl25_1 ),
    inference(superposition,[],[f3,f532]) ).

fof(f4297,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f4265,f4272]) ).

fof(f4265,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(superposition,[],[f3,f4260]) ).

fof(f719,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f718,f1]) ).

fof(f718,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl25_14 ),
    inference(superposition,[],[f3,f536]) ).

fof(f536,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f283,f221]) ).

fof(f221,plain,
    ( sk_c2 = sF23
    | ~ spl25_14 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f283,plain,
    identity = multiply(sF23,sk_c1),
    inference(superposition,[],[f2,f112]) ).

fof(f112,plain,
    inverse(sk_c1) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f4263,plain,
    ( sk_c10 = multiply(sk_c2,sk_c11)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(superposition,[],[f719,f4260]) ).

fof(f59,plain,
    ~ sP4(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f4912,plain,
    ( spl25_37
    | ~ spl25_31
    | ~ spl25_107 ),
    inference(avatar_split_clause,[],[f4903,f3942,f711,f1116]) ).

fof(f711,plain,
    ( spl25_31
  <=> sP4(inverse(sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_31])]) ).

fof(f3942,plain,
    ( spl25_107
  <=> sk_c10 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_107])]) ).

fof(f4903,plain,
    ( sP4(sk_c10)
    | ~ spl25_31
    | ~ spl25_107 ),
    inference(forward_demodulation,[],[f713,f3943]) ).

fof(f3943,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_107 ),
    inference(avatar_component_clause,[],[f3942]) ).

fof(f713,plain,
    ( sP4(inverse(sk_c10))
    | ~ spl25_31 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f4891,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(avatar_contradiction_clause,[],[f4890]) ).

fof(f4890,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(subsumption_resolution,[],[f4889,f60]) ).

fof(f60,plain,
    ~ sP5(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f4889,plain,
    ( sP5(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_30 ),
    inference(forward_demodulation,[],[f709,f4350]) ).

fof(f4350,plain,
    ( identity = sk_c10
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f4271,f4335]) ).

fof(f709,plain,
    ( sP5(identity)
    | ~ spl25_30 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f707,plain,
    ( spl25_30
  <=> sP5(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_30])]) ).

fof(f4888,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18
    | ~ spl25_107 ),
    inference(avatar_contradiction_clause,[],[f4887]) ).

fof(f4887,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18
    | ~ spl25_107 ),
    inference(subsumption_resolution,[],[f4886,f62]) ).

fof(f62,plain,
    ~ sP7(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f4886,plain,
    ( sP7(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18
    | ~ spl25_107 ),
    inference(forward_demodulation,[],[f4885,f3943]) ).

fof(f4885,plain,
    ( sP7(inverse(sk_c10))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f4884,f4299]) ).

fof(f4884,plain,
    ( sP7(multiply(sk_c10,inverse(sk_c10)))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f4856,f61]) ).

fof(f61,plain,
    ~ sP6(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f4856,plain,
    ( sP6(sk_c10)
    | sP7(multiply(sk_c10,inverse(sk_c10)))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(superposition,[],[f4850,f4376]) ).

fof(f4376,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c10
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f4273,f4335]) ).

fof(f4273,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c11
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f2,f4271]) ).

fof(f4850,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c10))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f256,f4337]) ).

fof(f4337,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f3350,f4330]) ).

fof(f256,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c9))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_18 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl25_18
  <=> ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c9))
        | sP7(multiply(X3,inverse(X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).

fof(f4839,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20
    | ~ spl25_107 ),
    inference(avatar_contradiction_clause,[],[f4838]) ).

fof(f4838,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20
    | ~ spl25_107 ),
    inference(subsumption_resolution,[],[f4837,f4357]) ).

fof(f4357,plain,
    ( ~ sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f58,f4337]) ).

fof(f58,plain,
    ~ sP3(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f4837,plain,
    ( sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20
    | ~ spl25_107 ),
    inference(forward_demodulation,[],[f4836,f4299]) ).

fof(f4836,plain,
    ( sP3(multiply(sk_c10,sk_c10))
    | ~ spl25_20
    | ~ spl25_107 ),
    inference(subsumption_resolution,[],[f4831,f57]) ).

fof(f57,plain,
    ~ sP2(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f4831,plain,
    ( sP2(sk_c10)
    | sP3(multiply(sk_c10,sk_c10))
    | ~ spl25_20
    | ~ spl25_107 ),
    inference(superposition,[],[f262,f3943]) ).

fof(f262,plain,
    ( ! [X6] :
        ( sP2(inverse(X6))
        | sP3(multiply(X6,sk_c10)) )
    | ~ spl25_20 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl25_20
  <=> ! [X6] :
        ( sP2(inverse(X6))
        | sP3(multiply(X6,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).

fof(f4684,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f4683]) ).

fof(f4683,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f4682,f4679]) ).

fof(f4679,plain,
    ( ~ sP8(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f63,f4335]) ).

fof(f63,plain,
    ~ sP8(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f4682,plain,
    ( sP8(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f253,f4344]) ).

fof(f4344,plain,
    ( sk_c10 = sF21
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f193,f4335]) ).

fof(f253,plain,
    ( sP8(sF21)
    | ~ spl25_17 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl25_17
  <=> sP8(sF21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).

fof(f4674,plain,
    ( ~ spl25_90
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f4338,f233,f219,f205,f191,f137,f2632]) ).

fof(f2632,plain,
    ( spl25_90
  <=> sP0(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_90])]) ).

fof(f4338,plain,
    ( ~ sP0(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f55,f4335]) ).

fof(f55,plain,
    ~ sP0(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f4604,plain,
    ( ~ spl25_88
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f4339,f233,f219,f205,f191,f137,f2570]) ).

fof(f2570,plain,
    ( spl25_88
  <=> sP1(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_88])]) ).

fof(f4339,plain,
    ( ~ sP1(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f56,f4335]) ).

fof(f56,plain,
    ~ sP1(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f4584,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_85
    | spl25_90
    | ~ spl25_92 ),
    inference(avatar_contradiction_clause,[],[f4583]) ).

fof(f4583,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_85
    | spl25_90
    | ~ spl25_92 ),
    inference(subsumption_resolution,[],[f4582,f2633]) ).

fof(f2633,plain,
    ( ~ sP0(sk_c10)
    | spl25_90 ),
    inference(avatar_component_clause,[],[f2632]) ).

fof(f4582,plain,
    ( sP0(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_85
    | ~ spl25_92 ),
    inference(forward_demodulation,[],[f4581,f4299]) ).

fof(f4581,plain,
    ( sP0(multiply(sk_c10,sk_c10))
    | ~ spl25_85
    | ~ spl25_92 ),
    inference(forward_demodulation,[],[f2322,f2757]) ).

fof(f2757,plain,
    ( sk_c10 = sk_c2
    | ~ spl25_92 ),
    inference(avatar_component_clause,[],[f2756]) ).

fof(f2756,plain,
    ( spl25_92
  <=> sk_c10 = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_92])]) ).

fof(f2322,plain,
    ( sP0(multiply(sk_c2,sk_c10))
    | ~ spl25_85 ),
    inference(avatar_component_clause,[],[f2320]) ).

fof(f2320,plain,
    ( spl25_85
  <=> sP0(multiply(sk_c2,sk_c10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_85])]) ).

fof(f4514,plain,
    ( ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84
    | ~ spl25_92
    | ~ spl25_107 ),
    inference(avatar_contradiction_clause,[],[f4513]) ).

fof(f4513,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84
    | ~ spl25_92
    | ~ spl25_107 ),
    inference(subsumption_resolution,[],[f4512,f3943]) ).

fof(f4512,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84
    | ~ spl25_92
    | ~ spl25_107 ),
    inference(forward_demodulation,[],[f4505,f3943]) ).

fof(f4505,plain,
    ( sk_c10 != inverse(inverse(sk_c10))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84
    | ~ spl25_92 ),
    inference(backward_demodulation,[],[f4479,f2757]) ).

fof(f4479,plain,
    ( sk_c10 != inverse(inverse(sk_c2))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84 ),
    inference(forward_demodulation,[],[f4478,f4350]) ).

fof(f4478,plain,
    ( identity != inverse(inverse(sk_c2))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84 ),
    inference(subsumption_resolution,[],[f4477,f4380]) ).

fof(f4380,plain,
    ( sk_c2 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f537,f4379]) ).

fof(f4379,plain,
    ( sk_c10 = sk_c1
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f4378,f4335]) ).

fof(f4378,plain,
    ( sk_c11 = sk_c1
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f4276,f4330]) ).

fof(f4276,plain,
    ( sk_c11 = multiply(sk_c2,sk_c1)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f536,f4271]) ).

fof(f537,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f112,f221]) ).

fof(f4477,plain,
    ( sk_c2 != inverse(sk_c10)
    | identity != inverse(inverse(sk_c2))
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_84 ),
    inference(forward_demodulation,[],[f4212,f4350]) ).

fof(f4212,plain,
    ( sk_c2 != inverse(identity)
    | identity != inverse(inverse(sk_c2))
    | ~ spl25_84 ),
    inference(superposition,[],[f2318,f2]) ).

fof(f2318,plain,
    ( ! [X0] :
        ( sk_c2 != inverse(multiply(X0,sk_c2))
        | inverse(X0) != multiply(X0,sk_c2) )
    | ~ spl25_84 ),
    inference(avatar_component_clause,[],[f2317]) ).

fof(f2317,plain,
    ( spl25_84
  <=> ! [X0] :
        ( sk_c2 != inverse(multiply(X0,sk_c2))
        | inverse(X0) != multiply(X0,sk_c2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_84])]) ).

fof(f4459,plain,
    ( spl25_92
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f4336,f233,f219,f205,f191,f137,f2756]) ).

fof(f4336,plain,
    ( sk_c10 = sk_c2
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f3559,f4330]) ).

fof(f3559,plain,
    ( sk_c2 = multiply(sk_c2,sk_c10)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f719,f3333]) ).

fof(f3333,plain,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | ~ spl25_13 ),
    inference(forward_demodulation,[],[f101,f207]) ).

fof(f4352,plain,
    ( spl25_107
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f4345,f233,f219,f205,f191,f137,f3942]) ).

fof(f4345,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f533,f4335]) ).

fof(f533,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl25_1 ),
    inference(forward_demodulation,[],[f70,f139]) ).

fof(f4076,plain,
    ( spl25_107
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(avatar_split_clause,[],[f4071,f1830,f156,f141,f137,f3942]) ).

fof(f141,plain,
    ( spl25_2
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f156,plain,
    ( spl25_5
  <=> sk_c10 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).

fof(f1830,plain,
    ( spl25_58
  <=> sk_c10 = inverse(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_58])]) ).

fof(f4071,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(backward_demodulation,[],[f533,f4063]) ).

fof(f4063,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(backward_demodulation,[],[f2226,f4060]) ).

fof(f4060,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(backward_demodulation,[],[f4050,f4052]) ).

fof(f4052,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(backward_demodulation,[],[f717,f4025]) ).

fof(f4025,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(backward_demodulation,[],[f1,f4024]) ).

fof(f4024,plain,
    ( identity = sk_c10
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(forward_demodulation,[],[f4022,f3575]) ).

fof(f3575,plain,
    ( identity = multiply(sk_c10,sF13)
    | ~ spl25_58 ),
    inference(superposition,[],[f2,f1831]) ).

fof(f1831,plain,
    ( sk_c10 = inverse(sF13)
    | ~ spl25_58 ),
    inference(avatar_component_clause,[],[f1830]) ).

fof(f4022,plain,
    ( sk_c10 = multiply(sk_c10,sF13)
    | ~ spl25_5 ),
    inference(superposition,[],[f2287,f74]) ).

fof(f74,plain,
    multiply(sk_c4,sk_c10) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f2287,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f2286,f1]) ).

fof(f2286,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl25_5 ),
    inference(superposition,[],[f3,f2237]) ).

fof(f2237,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f1351,f158]) ).

fof(f158,plain,
    ( sk_c10 = sF14
    | ~ spl25_5 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f1351,plain,
    identity = multiply(sF14,sk_c4),
    inference(superposition,[],[f2,f76]) ).

fof(f76,plain,
    inverse(sk_c4) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f4050,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(backward_demodulation,[],[f2270,f4025]) ).

fof(f2270,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
    | ~ spl25_2 ),
    inference(superposition,[],[f3,f2226]) ).

fof(f2226,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl25_2 ),
    inference(forward_demodulation,[],[f69,f143]) ).

fof(f143,plain,
    ( sk_c10 = sF10
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f69,plain,
    multiply(sk_c3,sk_c11) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f3299,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_20
    | ~ spl25_58 ),
    inference(avatar_contradiction_clause,[],[f3298]) ).

fof(f3298,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_20
    | ~ spl25_58 ),
    inference(subsumption_resolution,[],[f3297,f2782]) ).

fof(f2782,plain,
    ( ~ sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f58,f2780]) ).

fof(f2780,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f2390,f2779]) ).

fof(f2779,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f2778,f2356]) ).

fof(f2356,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f1,f2355]) ).

fof(f2355,plain,
    ( identity = sk_c10
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f2352,f532]) ).

fof(f2352,plain,
    ( sk_c10 = multiply(sk_c10,sk_c11)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f2226,f2351]) ).

fof(f2351,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,X0)
    | ~ spl25_1
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f2350,f1]) ).

fof(f2350,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,multiply(identity,X0))
    | ~ spl25_1
    | ~ spl25_3 ),
    inference(superposition,[],[f3,f2347]) ).

fof(f2347,plain,
    ( sk_c3 = multiply(sk_c10,identity)
    | ~ spl25_1
    | ~ spl25_3 ),
    inference(superposition,[],[f717,f2241]) ).

fof(f2241,plain,
    ( identity = multiply(sk_c11,sk_c3)
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f696,f148]) ).

fof(f148,plain,
    ( sk_c11 = sF12
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl25_3
  <=> sk_c11 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).

fof(f696,plain,
    identity = multiply(sF12,sk_c3),
    inference(superposition,[],[f2,f72]) ).

fof(f72,plain,
    inverse(sk_c3) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f2778,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f2373,f2450]) ).

fof(f2450,plain,
    ( sk_c10 = sk_c4
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f2364,f2356]) ).

fof(f2364,plain,
    ( sk_c10 = multiply(sk_c10,sk_c4)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f2237,f2355]) ).

fof(f2373,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f2235,f2356]) ).

fof(f2235,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl25_4 ),
    inference(forward_demodulation,[],[f694,f153]) ).

fof(f153,plain,
    ( sk_c9 = sF13
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl25_4
  <=> sk_c9 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).

fof(f694,plain,
    ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sF13,X0),
    inference(superposition,[],[f3,f74]) ).

fof(f2390,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f2227,f2373]) ).

fof(f2227,plain,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | ~ spl25_4 ),
    inference(forward_demodulation,[],[f74,f153]) ).

fof(f3297,plain,
    ( sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_20
    | ~ spl25_58 ),
    inference(forward_demodulation,[],[f3296,f2356]) ).

fof(f3296,plain,
    ( sP3(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_20
    | ~ spl25_58 ),
    inference(subsumption_resolution,[],[f3291,f57]) ).

fof(f3291,plain,
    ( sP2(sk_c10)
    | sP3(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_20
    | ~ spl25_58 ),
    inference(superposition,[],[f262,f3191]) ).

fof(f3191,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_58 ),
    inference(forward_demodulation,[],[f1831,f2784]) ).

fof(f2784,plain,
    ( sk_c10 = sF13
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f153,f2780]) ).

fof(f3257,plain,
    ( ~ spl25_13
    | ~ spl25_86
    | spl25_88 ),
    inference(avatar_contradiction_clause,[],[f3256]) ).

fof(f3256,plain,
    ( $false
    | ~ spl25_13
    | ~ spl25_86
    | spl25_88 ),
    inference(subsumption_resolution,[],[f3255,f2571]) ).

fof(f2571,plain,
    ( ~ sP1(sk_c10)
    | spl25_88 ),
    inference(avatar_component_clause,[],[f2570]) ).

fof(f3255,plain,
    ( sP1(sk_c10)
    | ~ spl25_13
    | ~ spl25_86 ),
    inference(forward_demodulation,[],[f2326,f207]) ).

fof(f2326,plain,
    ( sP1(sF22)
    | ~ spl25_86 ),
    inference(avatar_component_clause,[],[f2324]) ).

fof(f2324,plain,
    ( spl25_86
  <=> sP1(sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_86])]) ).

fof(f3253,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_85
    | spl25_90
    | ~ spl25_92 ),
    inference(avatar_contradiction_clause,[],[f3252]) ).

fof(f3252,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_85
    | spl25_90
    | ~ spl25_92 ),
    inference(subsumption_resolution,[],[f3251,f2633]) ).

fof(f3251,plain,
    ( sP0(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_85
    | ~ spl25_92 ),
    inference(forward_demodulation,[],[f3250,f2356]) ).

fof(f3250,plain,
    ( sP0(multiply(sk_c10,sk_c10))
    | ~ spl25_85
    | ~ spl25_92 ),
    inference(forward_demodulation,[],[f2322,f2757]) ).

fof(f2800,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_8
    | spl25_12 ),
    inference(avatar_contradiction_clause,[],[f2799]) ).

fof(f2799,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_8
    | spl25_12 ),
    inference(subsumption_resolution,[],[f2798,f2447]) ).

fof(f2447,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f2446,f2403]) ).

fof(f2403,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f2372,f2376]) ).

fof(f2376,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f717,f2356]) ).

fof(f2372,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f292,f2356]) ).

fof(f292,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
    | ~ spl25_8 ),
    inference(superposition,[],[f3,f270]) ).

fof(f270,plain,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f82,f173]) ).

fof(f173,plain,
    ( sk_c11 = sF17
    | ~ spl25_8 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl25_8
  <=> sk_c11 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).

fof(f82,plain,
    multiply(sk_c8,sk_c10) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f2446,plain,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f2363,f2376]) ).

fof(f2363,plain,
    ( multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c11)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f999,f2355]) ).

fof(f999,plain,
    ( multiply(sk_c8,identity) = multiply(sk_c11,sk_c11)
    | ~ spl25_1
    | ~ spl25_8 ),
    inference(superposition,[],[f292,f532]) ).

fof(f2798,plain,
    ( sk_c11 != sk_c10
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | spl25_12 ),
    inference(forward_demodulation,[],[f192,f2795]) ).

fof(f2795,plain,
    ( sk_c10 = sF21
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f2794,f2780]) ).

fof(f2794,plain,
    ( sk_c9 = sF21
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f90,f2356]) ).

fof(f192,plain,
    ( sk_c11 != sF21
    | spl25_12 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f2749,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_89 ),
    inference(avatar_contradiction_clause,[],[f2748]) ).

fof(f2748,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_89 ),
    inference(subsumption_resolution,[],[f2738,f2491]) ).

fof(f2491,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f533,f2447]) ).

fof(f2738,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_89 ),
    inference(duplicate_literal_removal,[],[f2733]) ).

fof(f2733,plain,
    ( sk_c10 != inverse(sk_c10)
    | sk_c10 != inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_89 ),
    inference(superposition,[],[f2575,f2356]) ).

fof(f2575,plain,
    ( ! [X0] :
        ( sk_c10 != inverse(multiply(X0,sk_c10))
        | inverse(X0) != multiply(X0,sk_c10) )
    | ~ spl25_89 ),
    inference(avatar_component_clause,[],[f2574]) ).

fof(f2574,plain,
    ( spl25_89
  <=> ! [X0] :
        ( inverse(X0) != multiply(X0,sk_c10)
        | sk_c10 != inverse(multiply(X0,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_89])]) ).

fof(f2648,plain,
    ( ~ spl25_90
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(avatar_split_clause,[],[f2484,f171,f146,f141,f137,f2632]) ).

fof(f2484,plain,
    ( ~ sP0(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f55,f2447]) ).

fof(f2647,plain,
    ( spl25_90
    | spl25_88
    | spl25_89
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(avatar_split_clause,[],[f2646,f264,f171,f146,f141,f137,f2574,f2570,f2632]) ).

fof(f264,plain,
    ( spl25_21
  <=> ! [X9,X7] :
        ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | sP1(multiply(X7,inverse(X7)))
        | sP0(multiply(inverse(X7),sk_c10))
        | inverse(X9) != multiply(X9,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).

fof(f2646,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,sk_c10)
        | sk_c10 != inverse(multiply(X0,sk_c10))
        | sP1(sk_c10)
        | sP0(sk_c10) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2645,f2447]) ).

fof(f2645,plain,
    ( ! [X0] :
        ( sk_c10 != inverse(multiply(X0,sk_c10))
        | sP1(sk_c10)
        | sP0(sk_c10)
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2644,f2447]) ).

fof(f2644,plain,
    ( ! [X0] :
        ( sP1(sk_c10)
        | sP0(sk_c10)
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2643,f2356]) ).

fof(f2643,plain,
    ( ! [X0] :
        ( sP1(multiply(sk_c10,sk_c10))
        | sP0(sk_c10)
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2642,f2456]) ).

fof(f2456,plain,
    ( sk_c10 = sk_c3
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f2365,f2376]) ).

fof(f2365,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f2241,f2355]) ).

fof(f2642,plain,
    ( ! [X0] :
        ( sP1(multiply(sk_c3,sk_c10))
        | sP0(sk_c10)
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2562,f2447]) ).

fof(f2562,plain,
    ( ! [X0] :
        ( sP0(sk_c10)
        | sP1(multiply(sk_c3,sk_c11))
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2561,f2356]) ).

fof(f2561,plain,
    ( ! [X0] :
        ( sP0(multiply(sk_c10,sk_c10))
        | sP1(multiply(sk_c3,sk_c11))
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2307,f2447]) ).

fof(f2307,plain,
    ( ! [X0] :
        ( sP0(multiply(sk_c11,sk_c10))
        | sP1(multiply(sk_c3,sk_c11))
        | sk_c11 != inverse(multiply(X0,sk_c11))
        | inverse(X0) != multiply(X0,sk_c11) )
    | ~ spl25_3
    | ~ spl25_21 ),
    inference(superposition,[],[f265,f2199]) ).

fof(f2199,plain,
    ( sk_c11 = inverse(sk_c3)
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f72,f148]) ).

fof(f265,plain,
    ( ! [X9,X7] :
        ( sP0(multiply(inverse(X7),sk_c10))
        | sP1(multiply(X7,inverse(X7)))
        | inverse(X7) != inverse(multiply(X9,inverse(X7)))
        | inverse(X9) != multiply(X9,inverse(X7)) )
    | ~ spl25_21 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f2641,plain,
    ( spl25_89
    | spl25_90
    | spl25_88
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_21 ),
    inference(avatar_split_clause,[],[f2640,f264,f156,f146,f141,f137,f2570,f2632,f2574]) ).

fof(f2640,plain,
    ( ! [X0] :
        ( sP1(sk_c10)
        | sP0(sk_c10)
        | sk_c10 != inverse(multiply(X0,sk_c10))
        | inverse(X0) != multiply(X0,sk_c10) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2639,f2356]) ).

fof(f2639,plain,
    ( ! [X0] :
        ( sP1(multiply(sk_c10,sk_c10))
        | sP0(sk_c10)
        | sk_c10 != inverse(multiply(X0,sk_c10))
        | inverse(X0) != multiply(X0,sk_c10) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2578,f2450]) ).

fof(f2578,plain,
    ( ! [X0] :
        ( sP0(sk_c10)
        | sP1(multiply(sk_c4,sk_c10))
        | sk_c10 != inverse(multiply(X0,sk_c10))
        | inverse(X0) != multiply(X0,sk_c10) )
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2308,f2356]) ).

fof(f2308,plain,
    ( ! [X0] :
        ( sP0(multiply(sk_c10,sk_c10))
        | sP1(multiply(sk_c4,sk_c10))
        | sk_c10 != inverse(multiply(X0,sk_c10))
        | inverse(X0) != multiply(X0,sk_c10) )
    | ~ spl25_5
    | ~ spl25_21 ),
    inference(superposition,[],[f265,f2059]) ).

fof(f2059,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f76,f158]) ).

fof(f2601,plain,
    ( ~ spl25_88
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(avatar_split_clause,[],[f2485,f171,f146,f141,f137,f2570]) ).

fof(f2485,plain,
    ( ~ sP1(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f56,f2447]) ).

fof(f2560,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_8
    | ~ spl25_12
    | spl25_58 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2559,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_8
    | ~ spl25_12
    | spl25_58 ),
    inference(subsumption_resolution,[],[f2558,f2491]) ).

fof(f2558,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_8
    | ~ spl25_12
    | spl25_58 ),
    inference(forward_demodulation,[],[f1832,f2500]) ).

fof(f2500,plain,
    ( sk_c10 = sF13
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_8
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f2398,f2447]) ).

fof(f2398,plain,
    ( sk_c11 = sF13
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_8
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f153,f2396]) ).

fof(f2396,plain,
    ( sk_c11 = sk_c9
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_8
    | ~ spl25_12 ),
    inference(forward_demodulation,[],[f2395,f2387]) ).

fof(f2387,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f270,f2372]) ).

fof(f2395,plain,
    ( sk_c9 = multiply(sk_c11,sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f2390,f2375]) ).

fof(f2375,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c11,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f2222,f2356]) ).

fof(f2222,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(sk_c11,X0)
    | ~ spl25_12 ),
    inference(forward_demodulation,[],[f288,f193]) ).

fof(f288,plain,
    ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(sF21,X0),
    inference(superposition,[],[f3,f90]) ).

fof(f1832,plain,
    ( sk_c10 != inverse(sF13)
    | spl25_58 ),
    inference(avatar_component_clause,[],[f1830]) ).

fof(f2327,plain,
    ( spl25_84
    | spl25_85
    | spl25_86
    | ~ spl25_14
    | ~ spl25_21 ),
    inference(avatar_split_clause,[],[f2315,f264,f219,f2324,f2320,f2317]) ).

fof(f2315,plain,
    ( ! [X0] :
        ( sP1(sF22)
        | sP0(multiply(sk_c2,sk_c10))
        | sk_c2 != inverse(multiply(X0,sk_c2))
        | inverse(X0) != multiply(X0,sk_c2) )
    | ~ spl25_14
    | ~ spl25_21 ),
    inference(forward_demodulation,[],[f2314,f101]) ).

fof(f2314,plain,
    ( ! [X0] :
        ( sP0(multiply(sk_c2,sk_c10))
        | sP1(multiply(sk_c1,sk_c2))
        | sk_c2 != inverse(multiply(X0,sk_c2))
        | inverse(X0) != multiply(X0,sk_c2) )
    | ~ spl25_14
    | ~ spl25_21 ),
    inference(superposition,[],[f265,f537]) ).

fof(f1970,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(avatar_contradiction_clause,[],[f1969]) ).

fof(f1969,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f1968,f62]) ).

fof(f1968,plain,
    ( sP7(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f1967,f1606]) ).

fof(f1606,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1605,f1447]) ).

fof(f1447,plain,
    ( sk_c10 = sk_c2
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1433,f1417]) ).

fof(f1417,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f717,f1396]) ).

fof(f1396,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1,f1395]) ).

fof(f1395,plain,
    ( identity = sk_c10
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1392,f532]) ).

fof(f1392,plain,
    ( sk_c10 = multiply(sk_c10,sk_c11)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f717,f1373]) ).

fof(f1373,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1369,f270]) ).

fof(f1369,plain,
    ( multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c10)
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f292,f1134]) ).

fof(f1134,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1129,f539]) ).

fof(f539,plain,
    ( sk_c10 = multiply(sk_c1,sk_c2)
    | ~ spl25_13 ),
    inference(backward_demodulation,[],[f101,f207]) ).

fof(f1129,plain,
    ( multiply(sk_c1,sk_c2) = multiply(sk_c10,sk_c10)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f538,f973]) ).

fof(f973,plain,
    ( sk_c2 = multiply(sk_c2,sk_c10)
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f719,f539]) ).

fof(f538,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c2,X0))
    | ~ spl25_13 ),
    inference(backward_demodulation,[],[f294,f207]) ).

fof(f1433,plain,
    ( sk_c10 = multiply(sk_c11,sk_c2)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f539,f1414]) ).

fof(f1414,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1306,f1396]) ).

fof(f1306,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(superposition,[],[f3,f1136]) ).

fof(f1136,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1130,f659]) ).

fof(f659,plain,
    ( sk_c11 = multiply(sk_c10,sk_c9)
    | ~ spl25_12 ),
    inference(forward_demodulation,[],[f90,f193]) ).

fof(f1130,plain,
    ( multiply(sk_c10,sk_c9) = multiply(sk_c1,sk_c10)
    | ~ spl25_13
    | ~ spl25_15 ),
    inference(superposition,[],[f538,f535]) ).

fof(f535,plain,
    ( sk_c10 = multiply(sk_c2,sk_c9)
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f123,f235]) ).

fof(f1605,plain,
    ( sk_c2 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f537,f1587]) ).

fof(f1587,plain,
    ( sk_c10 = sk_c1
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1586,f1396]) ).

fof(f1586,plain,
    ( sk_c10 = multiply(sk_c10,sk_c1)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(backward_demodulation,[],[f1400,f1447]) ).

fof(f1400,plain,
    ( sk_c10 = multiply(sk_c2,sk_c1)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f536,f1395]) ).

fof(f1967,plain,
    ( sP7(inverse(sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f1966,f1396]) ).

fof(f1966,plain,
    ( sP7(multiply(sk_c10,inverse(sk_c10)))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f1920,f61]) ).

fof(f1920,plain,
    ( sP6(sk_c10)
    | sP7(multiply(sk_c10,inverse(sk_c10)))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_18 ),
    inference(superposition,[],[f1866,f1397]) ).

fof(f1397,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c10
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f2,f1395]) ).

fof(f1866,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c10))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f256,f1582]) ).

fof(f1582,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1419,f1516]) ).

fof(f1516,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1399,f1396]) ).

fof(f1399,plain,
    ( sk_c10 = multiply(sk_c10,sk_c11)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f532,f1395]) ).

fof(f1419,plain,
    ( sk_c11 = sk_c9
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f659,f1396]) ).

fof(f1865,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f1864]) ).

fof(f1864,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f1863,f1635]) ).

fof(f1635,plain,
    ( ~ sP8(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f63,f1516]) ).

fof(f1863,plain,
    ( sP8(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f253,f1631]) ).

fof(f1631,plain,
    ( sk_c10 = sF21
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f193,f1516]) ).

fof(f1701,plain,
    ( ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f1699,f1598]) ).

fof(f1598,plain,
    ( ~ sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f58,f1582]) ).

fof(f1699,plain,
    ( sP3(sk_c10)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(forward_demodulation,[],[f1698,f1396]) ).

fof(f1698,plain,
    ( sP3(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(subsumption_resolution,[],[f1693,f57]) ).

fof(f1693,plain,
    ( sP2(sk_c10)
    | sP3(multiply(sk_c10,sk_c10))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15
    | ~ spl25_20 ),
    inference(superposition,[],[f262,f1606]) ).

fof(f1672,plain,
    ( ~ spl25_1
    | ~ spl25_6
    | spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_6
    | spl25_7
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(subsumption_resolution,[],[f1670,f1619]) ).

fof(f1619,plain,
    ( sk_c10 != sF16
    | ~ spl25_1
    | ~ spl25_6
    | spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1449,f1516]) ).

fof(f1449,plain,
    ( sk_c11 != sF16
    | ~ spl25_1
    | ~ spl25_6
    | spl25_7
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f167,f1448]) ).

fof(f1448,plain,
    ( sk_c11 = sk_c8
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f272,f1434]) ).

fof(f1434,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1390,f1417]) ).

fof(f1390,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c11,X0))
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f989,f1389]) ).

fof(f1389,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1386,f989]) ).

fof(f1386,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c11,X0))
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f3,f1375]) ).

fof(f1375,plain,
    ( sk_c11 = multiply(sk_c5,sk_c11)
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f734,f1373]) ).

fof(f734,plain,
    ( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(superposition,[],[f291,f270]) ).

fof(f291,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl25_6 ),
    inference(superposition,[],[f3,f272]) ).

fof(f989,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = multiply(sk_c5,multiply(sk_c11,X0))
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f978,f3]) ).

fof(f978,plain,
    ( ! [X0] : multiply(multiply(sk_c11,sk_c10),X0) = multiply(sk_c5,multiply(sk_c11,X0))
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(superposition,[],[f3,f734]) ).

fof(f272,plain,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | ~ spl25_6 ),
    inference(backward_demodulation,[],[f78,f163]) ).

fof(f163,plain,
    ( sk_c11 = sF15
    | ~ spl25_6 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl25_6
  <=> sk_c11 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).

fof(f78,plain,
    multiply(sk_c5,sk_c8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f167,plain,
    ( sk_c8 != sF16
    | spl25_7 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl25_7
  <=> sk_c8 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).

fof(f1670,plain,
    ( sk_c10 = sF16
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14
    | ~ spl25_15 ),
    inference(forward_demodulation,[],[f1669,f1606]) ).

fof(f1669,plain,
    ( sF16 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f80,f1667]) ).

fof(f1667,plain,
    ( sk_c10 = sk_c5
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1405,f1666]) ).

fof(f1666,plain,
    ( ! [X0] : multiply(sF16,X0) = X0
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1665,f1396]) ).

fof(f1665,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sF16,X0)
    | ~ spl25_1
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1664,f1434]) ).

fof(f1664,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sF16,multiply(sk_c5,X0))
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f3,f1405]) ).

fof(f1405,plain,
    ( sk_c10 = multiply(sF16,sk_c5)
    | ~ spl25_1
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f964,f1395]) ).

fof(f964,plain,
    identity = multiply(sF16,sk_c5),
    inference(superposition,[],[f2,f80]) ).

fof(f80,plain,
    inverse(sk_c5) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f1240,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1239,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(subsumption_resolution,[],[f1238,f1185]) ).

fof(f1185,plain,
    ( sk_c11 != sk_c9
    | ~ spl25_1
    | ~ spl25_2
    | spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f152,f1177]) ).

fof(f1177,plain,
    ( sk_c11 = sF13
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1070,f1171]) ).

fof(f1171,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1073,f1170]) ).

fof(f1170,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1162,f1073]) ).

fof(f1162,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c11,X0))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f291,f1148]) ).

fof(f1148,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f292,f1147]) ).

fof(f1147,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1143,f717]) ).

fof(f1143,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c11,X0))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f289,f1140]) ).

fof(f1140,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,X0)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1139,f1014]) ).

fof(f1014,plain,
    ( ! [X0] : multiply(sF13,X0) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f1,f1013]) ).

fof(f1013,plain,
    ( identity = sF13
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f1010,f532]) ).

fof(f1010,plain,
    ( sF13 = multiply(sk_c10,sk_c11)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(superposition,[],[f717,f1006]) ).

fof(f1006,plain,
    ( sk_c11 = multiply(sk_c11,sF13)
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f1002,f270]) ).

fof(f1002,plain,
    ( multiply(sk_c8,sk_c10) = multiply(sk_c11,sF13)
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(superposition,[],[f292,f953]) ).

fof(f953,plain,
    ( sk_c10 = multiply(sk_c10,sF13)
    | ~ spl25_5 ),
    inference(superposition,[],[f301,f74]) ).

fof(f301,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f300,f1]) ).

fof(f300,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl25_5 ),
    inference(superposition,[],[f3,f279]) ).

fof(f279,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl25_5 ),
    inference(superposition,[],[f2,f273]) ).

fof(f273,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f76,f158]) ).

fof(f1139,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sF13,X0))
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(superposition,[],[f3,f1135]) ).

fof(f1135,plain,
    ( sk_c10 = multiply(sk_c3,sF13)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1086,f1134]) ).

fof(f1086,plain,
    ( multiply(sk_c10,sk_c10) = multiply(sk_c3,sF13)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(superposition,[],[f289,f1067]) ).

fof(f1067,plain,
    ( sF13 = multiply(sk_c11,sk_c10)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f74,f1059]) ).

fof(f1059,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(superposition,[],[f1026,f717]) ).

fof(f1026,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f694,f1014]) ).

fof(f289,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
    | ~ spl25_2 ),
    inference(superposition,[],[f3,f276]) ).

fof(f276,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | ~ spl25_2 ),
    inference(backward_demodulation,[],[f69,f143]) ).

fof(f1073,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f989,f1068]) ).

fof(f1068,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f1026,f1059]) ).

fof(f1070,plain,
    ( sF13 = multiply(sk_c5,sk_c11)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f734,f1067]) ).

fof(f152,plain,
    ( sk_c9 != sF13
    | spl25_4 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f1238,plain,
    ( sk_c11 = sk_c9
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1237,f1177]) ).

fof(f1237,plain,
    ( sk_c9 = sF13
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(forward_demodulation,[],[f1169,f1170]) ).

fof(f1169,plain,
    ( sk_c9 = multiply(sk_c11,sF13)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_12
    | ~ spl25_13
    | ~ spl25_14 ),
    inference(backward_demodulation,[],[f1080,f1148]) ).

fof(f1080,plain,
    ( sk_c9 = multiply(sk_c8,sF13)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_12 ),
    inference(backward_demodulation,[],[f1025,f1079]) ).

fof(f1079,plain,
    ( sk_c9 = multiply(sk_c11,sk_c11)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_12 ),
    inference(forward_demodulation,[],[f1062,f1076]) ).

fof(f1076,plain,
    ( sk_c11 = sk_c4
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f1075,f1006]) ).

fof(f1075,plain,
    ( sk_c4 = multiply(sk_c11,sF13)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(forward_demodulation,[],[f1061,f1059]) ).

fof(f1061,plain,
    ( sk_c4 = multiply(sk_c4,sF13)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(superposition,[],[f1026,f1016]) ).

fof(f1016,plain,
    ( sF13 = multiply(sk_c10,sk_c4)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f279,f1013]) ).

fof(f1062,plain,
    ( sk_c9 = multiply(sk_c4,sk_c11)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8
    | ~ spl25_12 ),
    inference(superposition,[],[f1026,f659]) ).

fof(f1025,plain,
    ( multiply(sk_c11,sk_c11) = multiply(sk_c8,sF13)
    | ~ spl25_1
    | ~ spl25_5
    | ~ spl25_8 ),
    inference(backward_demodulation,[],[f999,f1013]) ).

fof(f714,plain,
    ( spl25_30
    | spl25_31
    | ~ spl25_1
    | ~ spl25_19 ),
    inference(avatar_split_clause,[],[f705,f258,f137,f711,f707]) ).

fof(f258,plain,
    ( spl25_19
  <=> ! [X5] :
        ( sP4(inverse(X5))
        | sP5(multiply(X5,sk_c11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).

fof(f705,plain,
    ( sP4(inverse(sk_c10))
    | sP5(identity)
    | ~ spl25_1
    | ~ spl25_19 ),
    inference(forward_demodulation,[],[f703,f533]) ).

fof(f703,plain,
    ( sP5(identity)
    | sP4(inverse(inverse(sk_c11)))
    | ~ spl25_19 ),
    inference(superposition,[],[f259,f2]) ).

fof(f259,plain,
    ( ! [X5] :
        ( sP5(multiply(X5,sk_c11))
        | sP4(inverse(X5)) )
    | ~ spl25_19 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f681,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_19 ),
    inference(avatar_contradiction_clause,[],[f680]) ).

fof(f680,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f679,f59]) ).

fof(f679,plain,
    ( sP4(sk_c11)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_19 ),
    inference(forward_demodulation,[],[f678,f275]) ).

fof(f275,plain,
    ( sk_c11 = inverse(sk_c3)
    | ~ spl25_3 ),
    inference(backward_demodulation,[],[f72,f148]) ).

fof(f678,plain,
    ( sP4(inverse(sk_c3))
    | ~ spl25_2
    | ~ spl25_19 ),
    inference(subsumption_resolution,[],[f677,f60]) ).

fof(f677,plain,
    ( sP5(sk_c10)
    | sP4(inverse(sk_c3))
    | ~ spl25_2
    | ~ spl25_19 ),
    inference(superposition,[],[f259,f276]) ).

fof(f515,plain,
    ( ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(avatar_contradiction_clause,[],[f514]) ).

fof(f514,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f513,f62]) ).

fof(f513,plain,
    ( sP7(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f512,f466]) ).

fof(f466,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f405,f139]) ).

fof(f405,plain,
    ( sF11 = inverse(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f70,f400]) ).

fof(f400,plain,
    ( sk_c11 = sk_c10
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(forward_demodulation,[],[f399,f385]) ).

fof(f385,plain,
    ( sk_c11 = sk_c8
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f346,f373]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f333,f372]) ).

fof(f372,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f351,f356]) ).

fof(f356,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f350,f349]) ).

fof(f349,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f347,f333]) ).

fof(f347,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f291,f339]) ).

fof(f339,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(superposition,[],[f333,f303]) ).

fof(f303,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f302,f1]) ).

fof(f302,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl25_7 ),
    inference(superposition,[],[f3,f280]) ).

fof(f280,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl25_7 ),
    inference(superposition,[],[f2,f271]) ).

fof(f271,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl25_7 ),
    inference(backward_demodulation,[],[f80,f168]) ).

fof(f168,plain,
    ( sk_c8 = sF16
    | ~ spl25_7 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f350,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f311,f349]) ).

fof(f311,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(superposition,[],[f3,f308]) ).

fof(f308,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl25_2
    | ~ spl25_3 ),
    inference(superposition,[],[f299,f276]) ).

fof(f299,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
    | ~ spl25_3 ),
    inference(forward_demodulation,[],[f287,f1]) ).

fof(f287,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
    | ~ spl25_3 ),
    inference(superposition,[],[f3,f278]) ).

fof(f278,plain,
    ( identity = multiply(sk_c11,sk_c3)
    | ~ spl25_3 ),
    inference(superposition,[],[f2,f275]) ).

fof(f351,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f292,f349]) ).

fof(f333,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f305,f328]) ).

fof(f328,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(superposition,[],[f307,f305]) ).

fof(f307,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f306,f1]) ).

fof(f306,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl25_10 ),
    inference(superposition,[],[f3,f282]) ).

fof(f282,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl25_10 ),
    inference(superposition,[],[f2,f268]) ).

fof(f268,plain,
    ( sk_c8 = inverse(sk_c6)
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f86,f183]) ).

fof(f183,plain,
    ( sk_c8 = sF19
    | ~ spl25_10 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl25_10
  <=> sk_c8 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).

fof(f86,plain,
    inverse(sk_c6) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f305,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl25_9 ),
    inference(forward_demodulation,[],[f304,f1]) ).

fof(f304,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl25_9 ),
    inference(superposition,[],[f3,f281]) ).

fof(f281,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl25_9 ),
    inference(superposition,[],[f2,f269]) ).

fof(f269,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl25_9 ),
    inference(backward_demodulation,[],[f84,f178]) ).

fof(f178,plain,
    ( sk_c6 = sF18
    | ~ spl25_9 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl25_9
  <=> sk_c6 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).

fof(f84,plain,
    inverse(sk_c7) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f346,plain,
    ( sk_c11 = multiply(sk_c6,sk_c8)
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f272,f339]) ).

fof(f399,plain,
    ( sk_c10 = sk_c8
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(forward_demodulation,[],[f387,f394]) ).

fof(f394,plain,
    ( sk_c10 = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f393,f371]) ).

fof(f371,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f273,f360]) ).

fof(f360,plain,
    ( identity = sk_c4
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f279,f356]) ).

fof(f393,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f269,f386]) ).

fof(f386,plain,
    ( identity = sk_c7
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f281,f373]) ).

fof(f387,plain,
    ( sk_c8 = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f323,f373]) ).

fof(f323,plain,
    ( sk_c8 = multiply(sk_c6,sk_c6)
    | ~ spl25_9
    | ~ spl25_11 ),
    inference(superposition,[],[f305,f267]) ).

fof(f267,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f88,f188]) ).

fof(f188,plain,
    ( sk_c6 = sF20
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl25_11
  <=> sk_c6 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f88,plain,
    multiply(sk_c7,sk_c8) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f512,plain,
    ( sP7(inverse(sk_c10))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f511,f356]) ).

fof(f511,plain,
    ( sP7(multiply(sk_c10,inverse(sk_c10)))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_18 ),
    inference(subsumption_resolution,[],[f496,f61]) ).

fof(f496,plain,
    ( sP6(sk_c10)
    | sP7(multiply(sk_c10,inverse(sk_c10)))
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_18 ),
    inference(superposition,[],[f474,f431]) ).

fof(f431,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c10
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f2,f429]) ).

fof(f429,plain,
    ( identity = sk_c10
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f383,f394]) ).

fof(f383,plain,
    ( identity = sk_c6
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f282,f372]) ).

fof(f474,plain,
    ( ! [X3] :
        ( sP6(multiply(inverse(X3),sk_c10))
        | sP7(multiply(X3,inverse(X3))) )
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_18 ),
    inference(forward_demodulation,[],[f256,f365]) ).

fof(f365,plain,
    ( sk_c10 = sk_c9
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f274,f364]) ).

fof(f364,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f358,f362]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f357,f356]) ).

fof(f357,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f315,f356]) ).

fof(f315,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(backward_demodulation,[],[f288,f314]) ).

fof(f314,plain,
    ( sk_c10 = sF21
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(forward_demodulation,[],[f312,f90]) ).

fof(f312,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | ~ spl25_4
    | ~ spl25_5 ),
    inference(superposition,[],[f301,f274]) ).

fof(f358,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f290,f356]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl25_4 ),
    inference(superposition,[],[f3,f274]) ).

fof(f274,plain,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | ~ spl25_4 ),
    inference(backward_demodulation,[],[f74,f153]) ).

fof(f473,plain,
    ( ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_17 ),
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11
    | ~ spl25_17 ),
    inference(subsumption_resolution,[],[f471,f404]) ).

fof(f404,plain,
    ( ~ sP8(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f63,f400]) ).

fof(f471,plain,
    ( sP8(sk_c10)
    | ~ spl25_4
    | ~ spl25_5
    | ~ spl25_17 ),
    inference(forward_demodulation,[],[f253,f314]) ).

fof(f470,plain,
    ( ~ spl25_16
    | ~ spl25_1 ),
    inference(avatar_split_clause,[],[f467,f137,f247]) ).

fof(f247,plain,
    ( spl25_16
  <=> sP9(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).

fof(f467,plain,
    ( ~ sP9(sk_c10)
    | ~ spl25_1 ),
    inference(backward_demodulation,[],[f134,f139]) ).

fof(f134,plain,
    ~ sP9(sF11),
    inference(definition_folding,[],[f64,f70]) ).

fof(f64,plain,
    ~ sP9(inverse(sk_c11)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f445,plain,
    ( spl25_1
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(avatar_split_clause,[],[f444,f186,f181,f176,f171,f166,f161,f156,f146,f141,f137]) ).

fof(f444,plain,
    ( sk_c10 = sF11
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(forward_demodulation,[],[f443,f405]) ).

fof(f443,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f409,f441]) ).

fof(f441,plain,
    ( sk_c10 = sk_c3
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f355,f429]) ).

fof(f355,plain,
    ( identity = sk_c3
    | ~ spl25_3
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_9
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f278,f349]) ).

fof(f409,plain,
    ( sk_c10 = inverse(sk_c3)
    | ~ spl25_2
    | ~ spl25_3
    | ~ spl25_5
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_8
    | ~ spl25_9
    | ~ spl25_10
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f275,f400]) ).

fof(f266,plain,
    ( spl25_16
    | spl25_17
    | spl25_18
    | spl25_19
    | spl25_20
    | spl25_21 ),
    inference(avatar_split_clause,[],[f135,f264,f261,f258,f255,f251,f247]) ).

fof(f135,plain,
    ! [X3,X6,X9,X7,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sP0(multiply(inverse(X7),sk_c10))
      | sP1(multiply(X7,inverse(X7)))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(inverse(X3),sk_c9))
      | sP7(multiply(X3,inverse(X3)))
      | sP8(sF21)
      | sP9(sk_c10) ),
    inference(definition_folding,[],[f68,f90]) ).

fof(f68,plain,
    ! [X3,X6,X9,X7,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sP0(multiply(inverse(X7),sk_c10))
      | sP1(multiply(X7,inverse(X7)))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(inverse(X3),sk_c9))
      | sP7(multiply(X3,inverse(X3)))
      | sP8(multiply(sk_c10,sk_c9))
      | sP9(sk_c10) ),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X3,X6,X9,X7,X4,X5] :
      ( inverse(X7) != inverse(multiply(X9,inverse(X7)))
      | inverse(X9) != multiply(X9,inverse(X7))
      | sP0(multiply(inverse(X7),sk_c10))
      | sP1(multiply(X7,inverse(X7)))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(X4,sk_c9))
      | inverse(X3) != X4
      | sP7(multiply(X3,X4))
      | sP8(multiply(sk_c10,sk_c9))
      | sP9(sk_c10) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( inverse(multiply(X9,X8)) != X8
      | inverse(X9) != multiply(X9,X8)
      | sP0(multiply(X8,sk_c10))
      | inverse(X7) != X8
      | sP1(multiply(X7,X8))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(X4,sk_c9))
      | inverse(X3) != X4
      | sP7(multiply(X3,X4))
      | sP8(multiply(sk_c10,sk_c9))
      | sP9(sk_c10) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( multiply(X9,X8) != X10
      | inverse(X10) != X8
      | inverse(X9) != X10
      | sP0(multiply(X8,sk_c10))
      | inverse(X7) != X8
      | sP1(multiply(X7,X8))
      | sP2(inverse(X6))
      | sP3(multiply(X6,sk_c10))
      | sP4(inverse(X5))
      | sP5(multiply(X5,sk_c11))
      | sP6(multiply(X4,sk_c9))
      | inverse(X3) != X4
      | sP7(multiply(X3,X4))
      | sP8(multiply(sk_c10,sk_c9))
      | sP9(sk_c10) ),
    inference(inequality_splitting,[],[f54,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).

fof(f54,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( multiply(X9,X8) != X10
      | inverse(X10) != X8
      | inverse(X9) != X10
      | sk_c11 != multiply(X8,sk_c10)
      | inverse(X7) != X8
      | sk_c11 != multiply(X7,X8)
      | sk_c10 != inverse(X6)
      | sk_c9 != multiply(X6,sk_c10)
      | sk_c11 != inverse(X5)
      | sk_c10 != multiply(X5,sk_c11)
      | sk_c10 != multiply(X4,sk_c9)
      | inverse(X3) != X4
      | sk_c10 != multiply(X3,X4)
      | sk_c11 != multiply(sk_c10,sk_c9)
      | inverse(sk_c11) != sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_51) ).

fof(f245,plain,
    ( spl25_15
    | spl25_11 ),
    inference(avatar_split_clause,[],[f133,f186,f233]) ).

fof(f133,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f53,f123,f88]) ).

fof(f53,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_50) ).

fof(f244,plain,
    ( spl25_15
    | spl25_10 ),
    inference(avatar_split_clause,[],[f132,f181,f233]) ).

fof(f132,plain,
    ( sk_c8 = sF19
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f52,f123,f86]) ).

fof(f52,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_49) ).

fof(f243,plain,
    ( spl25_15
    | spl25_9 ),
    inference(avatar_split_clause,[],[f131,f176,f233]) ).

fof(f131,plain,
    ( sk_c6 = sF18
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f51,f123,f84]) ).

fof(f51,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_48) ).

fof(f242,plain,
    ( spl25_15
    | spl25_8 ),
    inference(avatar_split_clause,[],[f130,f171,f233]) ).

fof(f130,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f50,f123,f82]) ).

fof(f50,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_47) ).

fof(f241,plain,
    ( spl25_15
    | spl25_7 ),
    inference(avatar_split_clause,[],[f129,f166,f233]) ).

fof(f129,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f49,f123,f80]) ).

fof(f49,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_46) ).

fof(f240,plain,
    ( spl25_15
    | spl25_6 ),
    inference(avatar_split_clause,[],[f128,f161,f233]) ).

fof(f128,plain,
    ( sk_c11 = sF15
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f48,f123,f78]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_45) ).

fof(f239,plain,
    ( spl25_15
    | spl25_5 ),
    inference(avatar_split_clause,[],[f127,f156,f233]) ).

fof(f127,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f47,f123,f76]) ).

fof(f47,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_44) ).

fof(f237,plain,
    ( spl25_15
    | spl25_3 ),
    inference(avatar_split_clause,[],[f125,f146,f233]) ).

fof(f125,plain,
    ( sk_c11 = sF12
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f45,f123,f72]) ).

fof(f45,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_42) ).

fof(f236,plain,
    ( spl25_15
    | spl25_2 ),
    inference(avatar_split_clause,[],[f124,f141,f233]) ).

fof(f124,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF24 ),
    inference(definition_folding,[],[f44,f123,f69]) ).

fof(f44,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_41) ).

fof(f231,plain,
    ( spl25_14
    | spl25_11 ),
    inference(avatar_split_clause,[],[f122,f186,f219]) ).

fof(f122,plain,
    ( sk_c6 = sF20
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f43,f112,f88]) ).

fof(f43,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_40) ).

fof(f230,plain,
    ( spl25_14
    | spl25_10 ),
    inference(avatar_split_clause,[],[f121,f181,f219]) ).

fof(f121,plain,
    ( sk_c8 = sF19
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f42,f112,f86]) ).

fof(f42,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_39) ).

fof(f229,plain,
    ( spl25_14
    | spl25_9 ),
    inference(avatar_split_clause,[],[f120,f176,f219]) ).

fof(f120,plain,
    ( sk_c6 = sF18
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f41,f112,f84]) ).

fof(f41,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_38) ).

fof(f228,plain,
    ( spl25_14
    | spl25_8 ),
    inference(avatar_split_clause,[],[f119,f171,f219]) ).

fof(f119,plain,
    ( sk_c11 = sF17
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f40,f112,f82]) ).

fof(f40,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_37) ).

fof(f227,plain,
    ( spl25_14
    | spl25_7 ),
    inference(avatar_split_clause,[],[f118,f166,f219]) ).

fof(f118,plain,
    ( sk_c8 = sF16
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f39,f112,f80]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_36) ).

fof(f226,plain,
    ( spl25_14
    | spl25_6 ),
    inference(avatar_split_clause,[],[f117,f161,f219]) ).

fof(f117,plain,
    ( sk_c11 = sF15
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f38,f112,f78]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_35) ).

fof(f225,plain,
    ( spl25_14
    | spl25_5 ),
    inference(avatar_split_clause,[],[f116,f156,f219]) ).

fof(f116,plain,
    ( sk_c10 = sF14
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f37,f112,f76]) ).

fof(f37,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_34) ).

fof(f224,plain,
    ( spl25_14
    | spl25_4 ),
    inference(avatar_split_clause,[],[f115,f151,f219]) ).

fof(f115,plain,
    ( sk_c9 = sF13
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f36,f112,f74]) ).

fof(f36,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_33) ).

fof(f223,plain,
    ( spl25_14
    | spl25_3 ),
    inference(avatar_split_clause,[],[f114,f146,f219]) ).

fof(f114,plain,
    ( sk_c11 = sF12
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f35,f112,f72]) ).

fof(f35,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_32) ).

fof(f222,plain,
    ( spl25_14
    | spl25_2 ),
    inference(avatar_split_clause,[],[f113,f141,f219]) ).

fof(f113,plain,
    ( sk_c10 = sF10
    | sk_c2 = sF23 ),
    inference(definition_folding,[],[f34,f112,f69]) ).

fof(f34,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_31) ).

fof(f217,plain,
    ( spl25_13
    | spl25_11 ),
    inference(avatar_split_clause,[],[f111,f186,f205]) ).

fof(f111,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f33,f101,f88]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_30) ).

fof(f216,plain,
    ( spl25_13
    | spl25_10 ),
    inference(avatar_split_clause,[],[f110,f181,f205]) ).

fof(f110,plain,
    ( sk_c8 = sF19
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f32,f101,f86]) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_29) ).

fof(f215,plain,
    ( spl25_13
    | spl25_9 ),
    inference(avatar_split_clause,[],[f109,f176,f205]) ).

fof(f109,plain,
    ( sk_c6 = sF18
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f31,f101,f84]) ).

fof(f31,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_28) ).

fof(f214,plain,
    ( spl25_13
    | spl25_8 ),
    inference(avatar_split_clause,[],[f108,f171,f205]) ).

fof(f108,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f30,f101,f82]) ).

fof(f30,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_27) ).

fof(f213,plain,
    ( spl25_13
    | spl25_7 ),
    inference(avatar_split_clause,[],[f107,f166,f205]) ).

fof(f107,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f29,f101,f80]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_26) ).

fof(f212,plain,
    ( spl25_13
    | spl25_6 ),
    inference(avatar_split_clause,[],[f106,f161,f205]) ).

fof(f106,plain,
    ( sk_c11 = sF15
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f28,f101,f78]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_25) ).

fof(f211,plain,
    ( spl25_13
    | spl25_5 ),
    inference(avatar_split_clause,[],[f105,f156,f205]) ).

fof(f105,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f27,f101,f76]) ).

fof(f27,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_24) ).

fof(f210,plain,
    ( spl25_13
    | spl25_4 ),
    inference(avatar_split_clause,[],[f104,f151,f205]) ).

fof(f104,plain,
    ( sk_c9 = sF13
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f26,f101,f74]) ).

fof(f26,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_23) ).

fof(f209,plain,
    ( spl25_13
    | spl25_3 ),
    inference(avatar_split_clause,[],[f103,f146,f205]) ).

fof(f103,plain,
    ( sk_c11 = sF12
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f25,f101,f72]) ).

fof(f25,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_22) ).

fof(f208,plain,
    ( spl25_13
    | spl25_2 ),
    inference(avatar_split_clause,[],[f102,f141,f205]) ).

fof(f102,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF22 ),
    inference(definition_folding,[],[f24,f101,f69]) ).

fof(f24,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_21) ).

fof(f200,plain,
    ( spl25_12
    | spl25_8 ),
    inference(avatar_split_clause,[],[f97,f171,f191]) ).

fof(f97,plain,
    ( sk_c11 = sF17
    | sk_c11 = sF21 ),
    inference(definition_folding,[],[f20,f90,f82]) ).

fof(f20,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_17) ).

fof(f198,plain,
    ( spl25_12
    | spl25_6 ),
    inference(avatar_split_clause,[],[f95,f161,f191]) ).

fof(f95,plain,
    ( sk_c11 = sF15
    | sk_c11 = sF21 ),
    inference(definition_folding,[],[f18,f90,f78]) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_15) ).

fof(f197,plain,
    ( spl25_12
    | spl25_5 ),
    inference(avatar_split_clause,[],[f94,f156,f191]) ).

fof(f94,plain,
    ( sk_c10 = sF14
    | sk_c11 = sF21 ),
    inference(definition_folding,[],[f17,f90,f76]) ).

fof(f17,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_14) ).

fof(f196,plain,
    ( spl25_12
    | spl25_4 ),
    inference(avatar_split_clause,[],[f93,f151,f191]) ).

fof(f93,plain,
    ( sk_c9 = sF13
    | sk_c11 = sF21 ),
    inference(definition_folding,[],[f16,f90,f74]) ).

fof(f16,axiom,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_13) ).

fof(f195,plain,
    ( spl25_12
    | spl25_3 ),
    inference(avatar_split_clause,[],[f92,f146,f191]) ).

fof(f92,plain,
    ( sk_c11 = sF12
    | sk_c11 = sF21 ),
    inference(definition_folding,[],[f15,f90,f72]) ).

fof(f15,axiom,
    ( sk_c11 = inverse(sk_c3)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_12) ).

fof(f194,plain,
    ( spl25_12
    | spl25_2 ),
    inference(avatar_split_clause,[],[f91,f141,f191]) ).

fof(f91,plain,
    ( sk_c10 = sF10
    | sk_c11 = sF21 ),
    inference(definition_folding,[],[f14,f90,f69]) ).

fof(f14,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c11 = multiply(sk_c10,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_11) ).

fof(f189,plain,
    ( spl25_1
    | spl25_11 ),
    inference(avatar_split_clause,[],[f89,f186,f137]) ).

fof(f89,plain,
    ( sk_c6 = sF20
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f13,f70,f88]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_10) ).

fof(f184,plain,
    ( spl25_1
    | spl25_10 ),
    inference(avatar_split_clause,[],[f87,f181,f137]) ).

fof(f87,plain,
    ( sk_c8 = sF19
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f12,f70,f86]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c6)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_9) ).

fof(f179,plain,
    ( spl25_1
    | spl25_9 ),
    inference(avatar_split_clause,[],[f85,f176,f137]) ).

fof(f85,plain,
    ( sk_c6 = sF18
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f11,f70,f84]) ).

fof(f11,axiom,
    ( inverse(sk_c7) = sk_c6
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_8) ).

fof(f174,plain,
    ( spl25_1
    | spl25_8 ),
    inference(avatar_split_clause,[],[f83,f171,f137]) ).

fof(f83,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f10,f70,f82]) ).

fof(f10,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c10)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_7) ).

fof(f169,plain,
    ( spl25_1
    | spl25_7 ),
    inference(avatar_split_clause,[],[f81,f166,f137]) ).

fof(f81,plain,
    ( sk_c8 = sF16
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f9,f70,f80]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_6) ).

fof(f164,plain,
    ( spl25_1
    | spl25_6 ),
    inference(avatar_split_clause,[],[f79,f161,f137]) ).

fof(f79,plain,
    ( sk_c11 = sF15
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f8,f70,f78]) ).

fof(f8,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_5) ).

fof(f159,plain,
    ( spl25_1
    | spl25_5 ),
    inference(avatar_split_clause,[],[f77,f156,f137]) ).

fof(f77,plain,
    ( sk_c10 = sF14
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f7,f70,f76]) ).

fof(f7,axiom,
    ( sk_c10 = inverse(sk_c4)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_4) ).

fof(f149,plain,
    ( spl25_1
    | spl25_3 ),
    inference(avatar_split_clause,[],[f73,f146,f137]) ).

fof(f73,plain,
    ( sk_c11 = sF12
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f5,f70,f72]) ).

fof(f5,axiom,
    ( sk_c11 = inverse(sk_c3)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_2) ).

fof(f144,plain,
    ( spl25_1
    | spl25_2 ),
    inference(avatar_split_clause,[],[f71,f141,f137]) ).

fof(f71,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f4,f70,f69]) ).

fof(f4,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP380-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:43:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ELhVyzMPbk/Vampire---4.8_26858
% 0.50/0.73  % (26967)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.73  % (26971)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.73  % (26970)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.50/0.73  % (26969)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.73  % (26972)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.50/0.73  % (26974)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.73  % (26968)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.50/0.73  % (26973)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.50/0.73  % (26967)Refutation not found, incomplete strategy% (26967)------------------------------
% 0.50/0.73  % (26967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (26967)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (26967)Memory used [KB]: 1077
% 0.50/0.73  % (26967)Time elapsed: 0.024 s
% 0.50/0.73  % (26967)Instructions burned: 5 (million)
% 0.50/0.73  % (26967)------------------------------
% 0.50/0.73  % (26967)------------------------------
% 0.50/0.73  % (26974)Refutation not found, incomplete strategy% (26974)------------------------------
% 0.50/0.73  % (26974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (26974)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (26974)Memory used [KB]: 1079
% 0.50/0.73  % (26974)Time elapsed: 0.003 s
% 0.50/0.73  % (26974)Instructions burned: 5 (million)
% 0.50/0.73  % (26970)Refutation not found, incomplete strategy% (26970)------------------------------
% 0.50/0.73  % (26970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (26970)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (26970)Memory used [KB]: 995
% 0.50/0.73  % (26970)Time elapsed: 0.004 s
% 0.50/0.73  % (26970)Instructions burned: 5 (million)
% 0.50/0.73  % (26974)------------------------------
% 0.50/0.73  % (26974)------------------------------
% 0.50/0.73  % (26971)Refutation not found, incomplete strategy% (26971)------------------------------
% 0.50/0.73  % (26971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (26970)------------------------------
% 0.50/0.73  % (26970)------------------------------
% 0.50/0.73  % (26971)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (26971)Memory used [KB]: 1095
% 0.50/0.73  % (26971)Time elapsed: 0.004 s
% 0.50/0.73  % (26971)Instructions burned: 6 (million)
% 0.50/0.73  % (26971)------------------------------
% 0.50/0.73  % (26971)------------------------------
% 0.50/0.73  % (26972)Refutation not found, incomplete strategy% (26972)------------------------------
% 0.50/0.73  % (26972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (26972)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  % (26969)Refutation not found, incomplete strategy% (26969)------------------------------
% 0.50/0.73  % (26969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  
% 0.50/0.73  % (26972)Memory used [KB]: 1069
% 0.50/0.73  % (26972)Time elapsed: 0.005 s
% 0.50/0.73  % (26972)Instructions burned: 7 (million)
% 0.50/0.73  % (26969)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (26969)Memory used [KB]: 1087
% 0.50/0.73  % (26969)Time elapsed: 0.005 s
% 0.50/0.73  % (26969)Instructions burned: 7 (million)
% 0.50/0.73  % (26972)------------------------------
% 0.50/0.73  % (26972)------------------------------
% 0.50/0.73  % (26969)------------------------------
% 0.50/0.73  % (26969)------------------------------
% 0.50/0.73  % (26973)Refutation not found, incomplete strategy% (26973)------------------------------
% 0.50/0.73  % (26973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (26973)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (26973)Memory used [KB]: 1103
% 0.50/0.73  % (26973)Time elapsed: 0.005 s
% 0.50/0.73  % (26973)Instructions burned: 8 (million)
% 0.50/0.73  % (26973)------------------------------
% 0.50/0.73  % (26973)------------------------------
% 0.50/0.73  % (26975)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.50/0.74  % (26976)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.50/0.74  % (26977)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.50/0.74  % (26978)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.50/0.74  % (26980)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.50/0.74  % (26975)Refutation not found, incomplete strategy% (26975)------------------------------
% 0.50/0.74  % (26975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (26975)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  % (26979)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.50/0.74  
% 0.50/0.74  % (26975)Memory used [KB]: 1088
% 0.50/0.74  % (26975)Time elapsed: 0.004 s
% 0.50/0.74  % (26975)Instructions burned: 7 (million)
% 0.50/0.74  % (26975)------------------------------
% 0.50/0.74  % (26975)------------------------------
% 0.50/0.74  % (26976)Refutation not found, incomplete strategy% (26976)------------------------------
% 0.50/0.74  % (26976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (26976)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  
% 0.50/0.74  % (26976)Memory used [KB]: 1071
% 0.50/0.74  % (26976)Time elapsed: 0.004 s
% 0.50/0.74  % (26976)Instructions burned: 8 (million)
% 0.50/0.74  % (26976)------------------------------
% 0.50/0.74  % (26976)------------------------------
% 0.50/0.74  % (26980)Refutation not found, incomplete strategy% (26980)------------------------------
% 0.50/0.74  % (26980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (26980)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  
% 0.50/0.74  % (26980)Memory used [KB]: 1102
% 0.50/0.74  % (26980)Time elapsed: 0.004 s
% 0.50/0.74  % (26980)Instructions burned: 5 (million)
% 0.50/0.74  % (26980)------------------------------
% 0.50/0.74  % (26980)------------------------------
% 0.50/0.74  % (26981)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.50/0.74  % (26978)Refutation not found, incomplete strategy% (26978)------------------------------
% 0.50/0.74  % (26978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (26978)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  
% 0.50/0.74  % (26978)Memory used [KB]: 1071
% 0.50/0.74  % (26978)Time elapsed: 0.005 s
% 0.50/0.74  % (26978)Instructions burned: 7 (million)
% 0.50/0.74  % (26982)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.50/0.74  % (26978)------------------------------
% 0.50/0.74  % (26978)------------------------------
% 0.50/0.74  % (26982)Refutation not found, incomplete strategy% (26982)------------------------------
% 0.50/0.74  % (26982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (26982)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  
% 0.50/0.74  % (26982)Memory used [KB]: 1016
% 0.50/0.74  % (26982)Time elapsed: 0.026 s
% 0.50/0.74  % (26982)Instructions burned: 5 (million)
% 0.50/0.74  % (26982)------------------------------
% 0.50/0.74  % (26982)------------------------------
% 0.50/0.74  % (26984)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.50/0.74  % (26985)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.50/0.74  % (26983)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.50/0.74  % (26986)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.50/0.74  % (26985)Refutation not found, incomplete strategy% (26985)------------------------------
% 0.50/0.74  % (26985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (26985)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74  
% 0.50/0.74  % (26985)Memory used [KB]: 1015
% 0.50/0.74  % (26985)Time elapsed: 0.003 s
% 0.50/0.74  % (26985)Instructions burned: 4 (million)
% 0.50/0.75  % (26985)------------------------------
% 0.50/0.75  % (26985)------------------------------
% 0.50/0.75  % (26983)Refutation not found, incomplete strategy% (26983)------------------------------
% 0.50/0.75  % (26983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26983)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75  
% 0.50/0.75  % (26983)Memory used [KB]: 1081
% 0.50/0.75  % (26983)Time elapsed: 0.026 s
% 0.50/0.75  % (26983)Instructions burned: 5 (million)
% 0.50/0.75  % (26983)------------------------------
% 0.50/0.75  % (26983)------------------------------
% 0.50/0.75  % (26986)Refutation not found, incomplete strategy% (26986)------------------------------
% 0.50/0.75  % (26986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26986)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75  
% 0.50/0.75  % (26986)Memory used [KB]: 1077
% 0.50/0.75  % (26986)Time elapsed: 0.003 s
% 0.50/0.75  % (26986)Instructions burned: 7 (million)
% 0.50/0.75  % (26986)------------------------------
% 0.50/0.75  % (26986)------------------------------
% 0.50/0.75  % (26987)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.50/0.75  % (26988)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.50/0.75  % (26981)Refutation not found, incomplete strategy% (26981)------------------------------
% 0.50/0.75  % (26981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26981)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75  
% 0.50/0.75  % (26981)Memory used [KB]: 1179
% 0.50/0.75  % (26981)Time elapsed: 0.037 s
% 0.50/0.75  % (26981)Instructions burned: 20 (million)
% 0.50/0.75  % (26981)------------------------------
% 0.50/0.75  % (26981)------------------------------
% 0.50/0.75  % (26989)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.50/0.75  % (26988)Refutation not found, incomplete strategy% (26988)------------------------------
% 0.50/0.75  % (26988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26988)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75  
% 0.50/0.75  % (26988)Memory used [KB]: 1105
% 0.50/0.75  % (26988)Time elapsed: 0.003 s
% 0.50/0.75  % (26988)Instructions burned: 6 (million)
% 0.50/0.75  % (26988)------------------------------
% 0.50/0.75  % (26988)------------------------------
% 0.50/0.75  % (26987)Refutation not found, incomplete strategy% (26987)------------------------------
% 0.50/0.75  % (26987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26987)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75  
% 0.50/0.75  % (26987)Memory used [KB]: 1087
% 0.50/0.75  % (26987)Time elapsed: 0.005 s
% 0.50/0.75  % (26987)Instructions burned: 8 (million)
% 0.50/0.75  % (26987)------------------------------
% 0.50/0.75  % (26987)------------------------------
% 0.50/0.75  % (26990)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.50/0.75  % (26992)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.50/0.75  % (26968)Instruction limit reached!
% 0.50/0.75  % (26968)------------------------------
% 0.50/0.75  % (26968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26968)Termination reason: Unknown
% 0.50/0.75  % (26968)Termination phase: Saturation
% 0.50/0.75  
% 0.50/0.75  % (26968)Memory used [KB]: 1747
% 0.50/0.75  % (26968)Time elapsed: 0.048 s
% 0.50/0.75  % (26968)Instructions burned: 51 (million)
% 0.50/0.75  % (26968)------------------------------
% 0.50/0.75  % (26968)------------------------------
% 0.50/0.75  % (26990)Refutation not found, incomplete strategy% (26990)------------------------------
% 0.50/0.75  % (26990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75  % (26990)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75  
% 0.50/0.75  % (26990)Memory used [KB]: 1093
% 0.50/0.75  % (26990)Time elapsed: 0.002 s
% 0.50/0.75  % (26990)Instructions burned: 5 (million)
% 0.50/0.76  % (26990)------------------------------
% 0.50/0.76  % (26990)------------------------------
% 0.68/0.76  % (26993)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.68/0.76  % (26991)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.68/0.76  % (26994)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.68/0.76  % (26991)Refutation not found, incomplete strategy% (26991)------------------------------
% 0.68/0.76  % (26991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (26991)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.76  
% 0.68/0.76  % (26991)Memory used [KB]: 1103
% 0.68/0.76  % (26991)Time elapsed: 0.005 s
% 0.68/0.76  % (26991)Instructions burned: 8 (million)
% 0.68/0.76  % (26991)------------------------------
% 0.68/0.76  % (26991)------------------------------
% 0.68/0.77  % (26992)Instruction limit reached!
% 0.68/0.77  % (26992)------------------------------
% 0.68/0.77  % (26992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (26992)Termination reason: Unknown
% 0.68/0.77  % (26992)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (26992)Memory used [KB]: 1214
% 0.68/0.77  % (26992)Time elapsed: 0.016 s
% 0.68/0.77  % (26992)Instructions burned: 36 (million)
% 0.68/0.77  % (26992)------------------------------
% 0.68/0.77  % (26992)------------------------------
% 0.68/0.77  % (26995)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.68/0.77  % (26995)Refutation not found, incomplete strategy% (26995)------------------------------
% 0.68/0.77  % (26995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (26995)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (26995)Memory used [KB]: 992
% 0.68/0.77  % (26995)Time elapsed: 0.004 s
% 0.68/0.77  % (26995)Instructions burned: 5 (million)
% 0.68/0.77  % (26995)------------------------------
% 0.68/0.77  % (26995)------------------------------
% 0.68/0.77  % (26989)Instruction limit reached!
% 0.68/0.77  % (26989)------------------------------
% 0.68/0.77  % (26989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (26989)Termination reason: Unknown
% 0.68/0.77  % (26989)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (26989)Memory used [KB]: 1199
% 0.68/0.77  % (26989)Time elapsed: 0.026 s
% 0.68/0.77  % (26989)Instructions burned: 53 (million)
% 0.68/0.77  % (26989)------------------------------
% 0.68/0.77  % (26989)------------------------------
% 0.68/0.77  % (26996)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.68/0.78  % (26996)Refutation not found, incomplete strategy% (26996)------------------------------
% 0.68/0.78  % (26996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (26996)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (26996)Memory used [KB]: 1101
% 0.68/0.78  % (26996)Time elapsed: 0.004 s
% 0.68/0.78  % (26996)Instructions burned: 6 (million)
% 0.68/0.78  % (26996)------------------------------
% 0.68/0.78  % (26996)------------------------------
% 0.68/0.78  % (26998)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.68/0.78  % (26993)Instruction limit reached!
% 0.68/0.78  % (26993)------------------------------
% 0.68/0.78  % (26993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (26993)Termination reason: Unknown
% 0.68/0.78  % (26993)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (26993)Memory used [KB]: 1389
% 0.68/0.78  % (26993)Time elapsed: 0.023 s
% 0.68/0.78  % (26993)Instructions burned: 90 (million)
% 0.68/0.78  % (26993)------------------------------
% 0.68/0.78  % (26993)------------------------------
% 0.68/0.78  % (26997)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.68/0.78  % (27000)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.68/0.78  % (26999)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.68/0.79  % (26984)Instruction limit reached!
% 0.68/0.79  % (26984)------------------------------
% 0.68/0.79  % (26984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (26984)Termination reason: Unknown
% 0.68/0.79  % (26984)Termination phase: Saturation
% 0.68/0.79  
% 0.68/0.79  % (26984)Memory used [KB]: 2296
% 0.68/0.79  % (26984)Time elapsed: 0.068 s
% 0.68/0.79  % (26984)Instructions burned: 94 (million)
% 0.68/0.79  % (26984)------------------------------
% 0.68/0.79  % (26984)------------------------------
% 0.68/0.79  % (27001)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.68/0.80  % (26997)Instruction limit reached!
% 0.68/0.80  % (26997)------------------------------
% 0.68/0.80  % (26997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (26997)Termination reason: Unknown
% 0.68/0.80  % (26997)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (26997)Memory used [KB]: 1684
% 0.68/0.80  % (26997)Time elapsed: 0.020 s
% 0.68/0.80  % (26997)Instructions burned: 41 (million)
% 0.68/0.80  % (26997)------------------------------
% 0.68/0.80  % (26997)------------------------------
% 0.68/0.80  % (27000)Instruction limit reached!
% 0.68/0.80  % (27000)------------------------------
% 0.68/0.80  % (27000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (27000)Termination reason: Unknown
% 0.68/0.80  % (27000)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (27000)Memory used [KB]: 1331
% 0.68/0.80  % (27000)Time elapsed: 0.021 s
% 0.68/0.80  % (27000)Instructions burned: 82 (million)
% 0.68/0.80  % (27000)------------------------------
% 0.68/0.80  % (27000)------------------------------
% 0.85/0.80  % (27002)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.85/0.80  % (27003)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.85/0.81  % (26994)Instruction limit reached!
% 0.85/0.81  % (26994)------------------------------
% 0.85/0.81  % (26994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.81  % (26994)Termination reason: Unknown
% 0.85/0.81  % (26994)Termination phase: Saturation
% 0.85/0.81  
% 0.85/0.81  % (26994)Memory used [KB]: 2229
% 0.85/0.81  % (26994)Time elapsed: 0.053 s
% 0.85/0.81  % (26994)Instructions burned: 109 (million)
% 0.85/0.81  % (26994)------------------------------
% 0.85/0.81  % (26994)------------------------------
% 0.85/0.81  % (27002)Refutation not found, incomplete strategy% (27002)------------------------------
% 0.85/0.81  % (27002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.81  % (27002)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.81  
% 0.85/0.81  % (27002)Memory used [KB]: 1133
% 0.85/0.81  % (27002)Time elapsed: 0.009 s
% 0.85/0.81  % (27002)Instructions burned: 15 (million)
% 0.85/0.81  % (27001)Instruction limit reached!
% 0.85/0.81  % (27001)------------------------------
% 0.85/0.81  % (27001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.81  % (27002)------------------------------
% 0.85/0.81  % (27002)------------------------------
% 0.85/0.81  % (27001)Termination reason: Unknown
% 0.85/0.81  % (27001)Termination phase: Saturation
% 0.85/0.81  
% 0.85/0.81  % (27001)Memory used [KB]: 1738
% 0.85/0.81  % (27001)Time elapsed: 0.021 s
% 0.85/0.81  % (27001)Instructions burned: 38 (million)
% 0.85/0.81  % (27001)------------------------------
% 0.85/0.81  % (27001)------------------------------
% 0.85/0.82  % (27005)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.85/0.82  % (27006)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.85/0.82  % (27005)Refutation not found, incomplete strategy% (27005)------------------------------
% 0.85/0.82  % (27005)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.82  % (27005)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.82  
% 0.85/0.82  % (27005)Memory used [KB]: 973
% 0.85/0.82  % (27005)Time elapsed: 0.004 s
% 0.85/0.82  % (27005)Instructions burned: 6 (million)
% 0.85/0.82  % (27005)------------------------------
% 0.85/0.82  % (27005)------------------------------
% 0.85/0.82  % (27003)Instruction limit reached!
% 0.85/0.82  % (27003)------------------------------
% 0.85/0.82  % (27003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.82  % (27003)Termination reason: Unknown
% 0.85/0.82  % (27003)Termination phase: Saturation
% 0.85/0.82  
% 0.85/0.82  % (27003)Memory used [KB]: 1586
% 0.85/0.82  % (27003)Time elapsed: 0.015 s
% 0.85/0.82  % (27003)Instructions burned: 47 (million)
% 0.85/0.82  % (27003)------------------------------
% 0.85/0.82  % (27003)------------------------------
% 0.85/0.82  % (27006)Refutation not found, incomplete strategy% (27006)------------------------------
% 0.85/0.82  % (27006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.82  % (27006)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.82  
% 0.85/0.82  % (27006)Memory used [KB]: 1067
% 0.85/0.82  % (27006)Time elapsed: 0.004 s
% 0.85/0.82  % (27006)Instructions burned: 8 (million)
% 0.85/0.82  % (27006)------------------------------
% 0.85/0.82  % (27006)------------------------------
% 0.85/0.82  % (27007)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 0.85/0.82  % (27004)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.85/0.82  % (27009)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 0.85/0.82  % (26977)Instruction limit reached!
% 0.85/0.82  % (26977)------------------------------
% 0.85/0.82  % (26977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.82  % (27008)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 0.85/0.82  % (26977)Termination reason: Unknown
% 0.85/0.82  % (26977)Termination phase: Saturation
% 0.85/0.82  
% 0.85/0.82  % (26977)Memory used [KB]: 2604
% 0.85/0.82  % (26977)Time elapsed: 0.112 s
% 0.85/0.82  % (26977)Instructions burned: 208 (million)
% 0.85/0.82  % (26977)------------------------------
% 0.85/0.82  % (26977)------------------------------
% 0.85/0.82  % (27004)Refutation not found, incomplete strategy% (27004)------------------------------
% 0.85/0.82  % (27004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.82  % (27004)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.82  
% 0.85/0.82  % (27004)Memory used [KB]: 1079
% 0.85/0.82  % (27004)Time elapsed: 0.003 s
% 0.85/0.82  % (27004)Instructions burned: 5 (million)
% 0.85/0.82  % (27004)------------------------------
% 0.85/0.82  % (27004)------------------------------
% 0.85/0.83  % (27011)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2995ds/49Mi)
% 0.85/0.83  % (27010)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 1.06/0.84  % (27007)Instruction limit reached!
% 1.06/0.84  % (27007)------------------------------
% 1.06/0.84  % (27007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.84  % (27007)Termination reason: Unknown
% 1.06/0.84  % (27007)Termination phase: Saturation
% 1.06/0.84  
% 1.06/0.84  % (27007)Memory used [KB]: 1420
% 1.06/0.84  % (27007)Time elapsed: 0.022 s
% 1.06/0.84  % (27007)Instructions burned: 82 (million)
% 1.06/0.84  % (27007)------------------------------
% 1.06/0.84  % (27007)------------------------------
% 1.06/0.84  % (27012)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2995ds/51Mi)
% 1.06/0.85  % (27011)Instruction limit reached!
% 1.06/0.85  % (27011)------------------------------
% 1.06/0.85  % (27011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.85  % (27011)Termination reason: Unknown
% 1.06/0.85  % (27011)Termination phase: Saturation
% 1.06/0.85  
% 1.06/0.85  % (27011)Memory used [KB]: 1600
% 1.06/0.85  % (27011)Time elapsed: 0.023 s
% 1.06/0.85  % (27011)Instructions burned: 49 (million)
% 1.06/0.85  % (27011)------------------------------
% 1.06/0.85  % (27011)------------------------------
% 1.06/0.85  % (27013)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2995ds/149Mi)
% 1.06/0.85  % (26999)Instruction limit reached!
% 1.06/0.85  % (26999)------------------------------
% 1.06/0.85  % (26999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.85  % (26999)Termination reason: Unknown
% 1.06/0.85  % (26999)Termination phase: Saturation
% 1.06/0.85  
% 1.06/0.85  % (26999)Memory used [KB]: 2380
% 1.06/0.85  % (26999)Time elapsed: 0.074 s
% 1.06/0.85  % (26999)Instructions burned: 162 (million)
% 1.06/0.85  % (26999)------------------------------
% 1.06/0.85  % (26999)------------------------------
% 1.06/0.86  % (27013)Refutation not found, incomplete strategy% (27013)------------------------------
% 1.06/0.86  % (27013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.86  % (27013)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.86  
% 1.06/0.86  % (27013)Memory used [KB]: 984
% 1.06/0.86  % (27013)Time elapsed: 0.004 s
% 1.06/0.86  % (27013)Instructions burned: 5 (million)
% 1.06/0.86  % (27013)------------------------------
% 1.06/0.86  % (27013)------------------------------
% 1.06/0.86  % (27014)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2994ds/56Mi)
% 1.06/0.86  % (27012)Instruction limit reached!
% 1.06/0.86  % (27012)------------------------------
% 1.06/0.86  % (27012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.86  % (27012)Termination reason: Unknown
% 1.06/0.86  % (27012)Termination phase: Saturation
% 1.06/0.86  
% 1.06/0.86  % (27012)Memory used [KB]: 2036
% 1.06/0.86  % (27012)Time elapsed: 0.017 s
% 1.06/0.86  % (27012)Instructions burned: 52 (million)
% 1.06/0.86  % (27012)------------------------------
% 1.06/0.86  % (27012)------------------------------
% 1.06/0.86  % (27014)Refutation not found, incomplete strategy% (27014)------------------------------
% 1.06/0.86  % (27014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.86  % (27014)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.86  
% 1.06/0.86  % (27014)Memory used [KB]: 994
% 1.06/0.86  % (27014)Time elapsed: 0.003 s
% 1.06/0.86  % (27014)Instructions burned: 5 (million)
% 1.06/0.86  % (27014)------------------------------
% 1.06/0.86  % (27014)------------------------------
% 1.06/0.86  % (27015)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2994ds/289Mi)
% 1.06/0.86  % (27016)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2994ds/206Mi)
% 1.06/0.87  % (27015)Refutation not found, incomplete strategy% (27015)------------------------------
% 1.06/0.87  % (27015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.87  % (27015)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.87  
% 1.06/0.87  % (27015)Memory used [KB]: 1105
% 1.06/0.87  % (27015)Time elapsed: 0.003 s
% 1.06/0.87  % (27015)Instructions burned: 8 (million)
% 1.06/0.87  % (27015)------------------------------
% 1.06/0.87  % (27015)------------------------------
% 1.06/0.87  % (27017)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on Vampire---4 for (2994ds/50Mi)
% 1.06/0.87  % (27008)Instruction limit reached!
% 1.06/0.87  % (27008)------------------------------
% 1.06/0.87  % (27008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.87  % (27008)Termination reason: Unknown
% 1.06/0.87  % (27008)Termination phase: Saturation
% 1.06/0.87  
% 1.06/0.87  % (27008)Memory used [KB]: 1357
% 1.06/0.87  % (27008)Time elapsed: 0.050 s
% 1.06/0.87  % (27008)Instructions burned: 119 (million)
% 1.06/0.87  % (27008)------------------------------
% 1.06/0.87  % (27008)------------------------------
% 1.06/0.87  % (27018)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2994ds/1483Mi)
% 1.06/0.88  % (27019)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 1.06/0.88  % (27010)Instruction limit reached!
% 1.06/0.88  % (27010)------------------------------
% 1.06/0.88  % (27010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.88  % (27010)Termination reason: Unknown
% 1.06/0.88  % (27010)Termination phase: Saturation
% 1.06/0.88  
% 1.06/0.88  % (27010)Memory used [KB]: 1832
% 1.06/0.88  % (27010)Time elapsed: 0.053 s
% 1.06/0.88  % (27010)Instructions burned: 117 (million)
% 1.06/0.88  % (27010)------------------------------
% 1.06/0.88  % (27010)------------------------------
% 1.06/0.88  % (27017)Instruction limit reached!
% 1.06/0.88  % (27017)------------------------------
% 1.06/0.88  % (27017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.88  % (27017)Termination reason: Unknown
% 1.06/0.88  % (27017)Termination phase: Saturation
% 1.06/0.88  
% 1.06/0.88  % (27017)Memory used [KB]: 1747
% 1.06/0.88  % (27017)Time elapsed: 0.017 s
% 1.06/0.88  % (27017)Instructions burned: 50 (million)
% 1.06/0.88  % (27017)------------------------------
% 1.06/0.88  % (27017)------------------------------
% 1.06/0.89  % (26998)First to succeed.
% 1.06/0.89  % (27020)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 1.06/0.89  % (27021)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on Vampire---4 for (2994ds/52Mi)
% 1.06/0.89  % (27020)Refutation not found, incomplete strategy% (27020)------------------------------
% 1.06/0.89  % (27020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.89  % (27020)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.89  
% 1.06/0.89  % (27020)Memory used [KB]: 1059
% 1.06/0.89  % (27020)Time elapsed: 0.006 s
% 1.06/0.89  % (27020)Instructions burned: 9 (million)
% 1.06/0.89  % (27020)------------------------------
% 1.06/0.89  % (27020)------------------------------
% 1.06/0.89  % (26998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26965"
% 1.06/0.89  % (26998)Refutation found. Thanks to Tanya!
% 1.06/0.89  % SZS status Unsatisfiable for Vampire---4
% 1.06/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 1.06/0.90  % (26998)------------------------------
% 1.06/0.90  % (26998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.90  % (26998)Termination reason: Refutation
% 1.06/0.90  
% 1.06/0.90  % (26998)Memory used [KB]: 2476
% 1.06/0.90  % (26998)Time elapsed: 0.117 s
% 1.06/0.90  % (26998)Instructions burned: 223 (million)
% 1.06/0.90  % (26965)Success in time 0.535 s
% 1.06/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------